MATH 190 Midterm: MATH 190 Louisville Exam 3 160414
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For full credit show all of your work (legibly! Answers should be simpli ed down to arithmetic expressions whenever possible only unsimpli able trigonometric and exponential functions may be left unevaluated. Unless degrees are explicitly presented as the units, all angle measurements are in radians: (16 points) answer the following questions about evaluating trigonometric expressions. (a) (6 points) evaluate cot(cid:0)arcsin( 5. 13 )(cid:1). (b) (3 points) evaluate arccos . 3 . (b) (4 points) identify the period, amplitude, and vertical shift of the periodic function g(x) = 4 2 cos( x. 5 ). (c) (4 points) evaluate csc 5 . Exam #3: (12 points) the following twelve graphs are of the following functions: Label each picture with the letter of the appropriate function. Exam #3: (20 points) answer the following questions about trigonometric equations. (a) (8 points) find all solutions to the equation 4 sin q.
